Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
410 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 117 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #15689694 | C2 | semidirect |
| 2. #15689464 | C2 | semidirect |
| 3. #15689444 | C2 | semidirect |
| 4. #15689367 | C2 | semidirect |
| 5. #15689350 | C2 | semidirect |
| 6. #15689274 | C2 | semidirect |
| 7. #15689261 | C2 | semidirect |
| 8. #15689090 | C2 | semidirect |
| 10. C22×Dic94 | C22 | semidirect |
| 13. C2×#10625329 | C22 | semidirect |
| 14. C22×C47⋊C8 | C22 | semidirect |
| 20. #13094003 | C22 | semidirect |
| 21. #13093983 | C22 | semidirect |
| 22. #13093957 | C22 | semidirect |
| 23. #13093955 | C22 | semidirect |
| 24. #13093947 | C22 | semidirect |
| 25. #13093947 | C22 | semidirect |
| 29. C22⋊(C47⋊C8) | C22 | semidirect |
| 147. C47 | #3200 | semidirect |